Results 31 to 40 of about 94 (93)
Oscillatory solutions of singular equations arising in hydrodynamics [PDF]
, 2020 We investigate the singular differential equation (p(t)u (t)) = p(t)f (u(t)) on the half-line [0, ∞), where f satisfies the local Lipschitz condition on R and has at least two simple zeros.
Jakub Stryja +2 more
core
New inequalities from classical Sturm theorems [PDF]
, 2004 23 pages, no figures.-- MSC2000 codes: Primary: 33C45; Secondary: 26D20, 34C10.MR#: MR2106538 (2006c:33007)Inequalities satisfied by the zeros of the solutions of second-order hypergeometric equations are derived through a systematic use of Liouville ...
Deaño Cabrera, Alfredo +3 more
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Qualitative properties of solutions of certain fourth order linear differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 4, Page 763-774, 1981., 1981 This work considers differential equations of the form where p, q and r are positive continuous functions defined on [0, ∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often arises in the study of mechanical vibrations.
W. E. Taylor Jr.
wiley +1 more source
Sturmian theorems for systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 177-184, 1980., 1979 Two Sturmian theorems are established for second order linear nonhomogeneous systems of two differential equations with the use of a maximum principle. The results also hold for homogeneous systems. For illustration, an example is given.
C. Y. Chan
wiley +1 more source
Interval Criteria for Forced Oscillation of Functional Differential Equations with γ-Laplacian, Damping and Mixed Nonlinearities [PDF]
, 2014 2010 Mathematics Subject Classification: 34C10 ...
Elabbasy, E. M. +3 more
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”Homogeneous” second order differential equation: zeros separation principles
, 2018 In this paper we study the following problems: Problem 1. Let I ⊂ R be an open interval and F : R3 × I → R be a continuous function with, F (0, 0, 0, x) = 0, for all x ∈ I. We consider the following differential equations ... ...
RUS, Ioan A.
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Electrostatic models for zeros of polynomials: Old, new, and some open problems [PDF]
, 2007 15 pages, 2 figures.-- MSC2000 codes: Primary, 30C15; Secondary, 34C10; 33C45; 42C05; 82B23.MR#: MR2345246 (2008h:33017)Zbl#: Zbl 1131.30002We give a survey concerning both very classical and recent results on the electrostatic interpretation of the ...
Marcellán, Francisco +7 more
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Wronskians and subspaces of certain fourth order differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 2, Page 275-292, 1980., 1980 The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution spaces of the equations.
G. J. Etgen, Willie E. Taylor Jr.
wiley +1 more source
Necessary and Sufficient Condition for Oscillations of Neutral Differential Equation [PDF]
, 2005 2000 Mathematics Subject Classification: 34K15, 34C10.We obtain necessary and sufficient conditions for the oscillation of all solutions of neutral differential equation with mixed (delayed and advanced) arguments ..
Hassan, T., Elabbasy, E., Saker, S.
core
Demonstratio MathematicaMonotonicity, oscillation, and asymptotic behavior of solutions of nonlinear fractional differential equations are investigated. Fractional differential equations are classified according to their oscillation properties, and a comparison between the ...
Bartušek Miroslav, Došlá Zuzana
doaj +1 more source